Exam 13: Simple Linear Regression

In the equation ,2 is the:

The degrees of freedom for a simple linear regression of sample size n are:

Use the following to answer question : The following table lists the monthly incomes (in hundreds of dollars)and the monthly rents paid (in hundreds of dollars)by a sample of six families. -Chapter 100.What is the value of the correlation coefficient?

Use the following to answer questions : For a data set of 10 values of x and y,the value of = 86,the standard deviation of errors for the regression of y on x is 3.662,and the value of b is 3.00. For the purpose of running a hypothesis test,the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero.The significance level is 5%. -What are the critical values of t?

In the regression model , is the:

We construct a scatter diagram by:

For a data set of x and y values,the value of = 266 and the standard deviation of errors for the regression of y on x is 8.875.The standard deviation of the sampling distribution of b,rounded to three decimal places,is:

Use the following to answer questions : For a data set of 8 values of x and y,the value of = 180,the standard deviation of errors for the regression of y on x is 9.237,and the value of b is -6.28. For the purpose of running a hypothesis test,the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero.The significance level is 1%. -What is the critical value of t?

In the equation ,6 is the:

Use the following to answer questions : The following table lists the ages (in years)and the prices (in thousands of dollars)by a sample of six houses. -The null hypothesis is that the slope of the population regression line of price on age is zero and the alternative hypothesis is that the slope of this population regression line is less than zero.The significance level is 5%.What is the critical value of t?

For a data set on x and y,the value of is 831, is 386,the mean of the x values is 9 ,and the mean of the y values is 48.The value of a in the regression of y on x,rounded to two decimal places,is:

A simple regression model contains:

In the equation ,x is the:

The value of the correlation coefficient is zero if the points in a scatter diagram:

The coefficient of determination represents the proportion of:

Use the following to answer questions : The following table lists the monthly incomes (in hundreds of dollars)and the monthly rents paid (in hundreds of dollars)by a sample of six families. -Using the regression of monthly rent paid on monthly income,the predicted value of monthly rent paid by a family with a monthly income of $3,000,rounded to the nearest dollar,is:

Use the following to answer questions : The following table lists the monthly incomes (in hundreds of dollars)and the monthly rents paid (in hundreds of dollars)by a sample of six families. -For the regression of y on x,the values of a and b,rounded to two decimal places,are:

Use the following to answer questions : The following table lists the ages (in years)and the prices (in thousands of dollars)by a sample of six houses. -The null hypothesis is that the slope of the population regression line of price on age is zero and the alternative hypothesis is that the slope of this population regression line is less than zero.The significance level is 5%.What is the value of the test statistic,t,rounded to three decimal places?

Use the following to answer questions : The table shown below gives seven pairs of x and y values. -Using the regression of y on x,the predicted value of y for x = 14,rounded to two decimal places,is:

In the equation ,120 is the: